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Finding the Fourth Proportional to 605.40, 906.42 and 441.06

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Solution

The fourth proportional to 605.40, 906.42 and 441.06 is: 660.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.40 : 906.42 = 441.06 : x
  2. Step 2: Convert to fraction form
    605.40/906.42 = 441.06/x
  3. Step 3: Cross multiply
    605.40x = 906.42 × 441.06
  4. Step 4: Simplify right side
    605.40x = 399,785.61
  5. Step 5: Solve for x
    x = 399,785.61/605.40
  6. Step 6: Final answer
    x = 660.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.